Real-space cosmic fields from redshift-space distributions: A Green{close_quote}s function approach

Journal Article · Wed Nov 01 04:00:00 EST 1995 · Astrophysical Journal

DOI:https://doi.org/10.1086/176415· OSTI ID:282000

Tegmark, M ^[1]; Bromley, B C ^[2]

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1. Max-Planck-Institut fuer Physik, Foehringer Ring 6, D-80805 (Germany)
2. Theoretical Astrophysics, MS B288, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We present a new method for reconstructing the cosmological density, peculiar velocity, and peculiar gravitational potential on large scales from redshift data. We remove the distorting effects of line-of-sight peculiar motions by using the linear theory of gravitational instability, in which the potential is the solution to a linear partial differential equation first derived by Kaiser. We solve this equation by deriving its Green{close_quote}s function; the Green{close_quote}s functions for the peculiar velocity and the real-space density follow directly. Reconstruction of the cosmic fields is thus reduced to integration over redshift space with the appropriate Green{close_quote}s function kernel. Our algorithm has a single input parameter, {beta}{equivalent_to}{Omega}{sup 0.6}/{ital b}, where {ital b} is the linear bias factor and {Omega} is the cosmological density parameter. We discuss the virtues of this method for error control, for estimating {beta}, and for constraining the bias mechanism. {copyright} {ital 1995 The American Astronomical Society.}

• OSTI ID: 282000
• Journal Information: Astrophysical Journal, Journal Name: Astrophysical Journal Journal Issue: 2 Vol. 453; ISSN ASJOAB; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGORITHMS
COSMOLOGICAL MODELS
DENSITY
GRAVITATIONAL INSTABILITY
GRAVITATIONAL POTENTIAL
GREEN FUNCTION
LARGE-SCALE STRUCTURE
RED SHIFT
SPATIAL DISTRIBUTION